JEE Main 2022 (Online) 25th July Evening Shift

Paper was held on
Mon, Jul 25, 2022 9:30 AM

## Chemistry

Match List I with List II:
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View Question Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y, respectively in 1 kg of water. The

View Question $${K_{{a_1}}}$$, $${K_{{a_2}}}$$ and $${K_{{a_3}}}$$ are the respective ionization constants for the following reactions

View Question The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl solution is $${\Lambda _{m1}}$$ and tha

View Question For micelle formation, which of the following statements are correct?
A. Micelle formation is an exothermic process.
B.

View Question The first ionization enthalpies of Be, B, N and O follow the order

View Question Given below are two statements.
Statement I : Pig iron is obtained by heating cast iron with scrap iron.
Statement II :

View Question High purity (> 99.95%) dihydrogen is obtained by :

View Question The correct order of density is :

View Question The total number of acidic oxides from the following list is
NO, N2O, B2O3, N2O5, CO, SO3, P4O10

View Question The correct order of energy of absorption for the following metal complexes is :
A : [Ni(en)3]2+ , B : [Ni(NH3)6]2+ , C

View Question Match List I with List II:
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View Question Major product of the following reaction is

View Question What is the major product of the following reaction?

View Question Arrange the following in decreasing acidic strength.

View Question $$C{H_3} - C{H_2} - CN\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_{Ether}^{C{H_3}MgBr}} A\buildrel {{H_3}{O^ + }}

View Question Match List I with List II :
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View Question Glycosidic linkage between C1 of $$\alpha$$-glucose and C2 of $$\beta$$-fructose is found in

View Question Some drugs bind to a site other than the active site of an enzyme. This site is known as

View Question In base vs. acid titration, at the end point methyl orange is present as

View Question 56.0 L of nitrogen gas is mixed with excess hydrogen gas and it is found that 20 L of ammonia gas is produced. The volum

View Question A sealed flask with a capacity of 2 dm3 contains 11 g of propane gas. The flask is so weak that it will burst if the pre

View Question When the excited electron of a H atom from n = 5 drops to the ground state, the maximum number of emission lines observe

View Question While performing a thermodynamics experiment, a student made the following observations.
HCl + NaOH $$\to$$ NaCl + H2O $

View Question For the decomposition of azomethane.
CH3N2CH3(g) $$\to$$ CH3CH3(g) + N2(g), a first order reaction, the variation in par

View Question The sum of number of lone pairs of electrons present on the central atoms of XeO3, XeOF4 and XeF6, is ______________

View Question The spin-only magnetic moment value of M3+ ion (in gaseous state) from the pairs Cr3+ / Cr2+, Mn3+ / Mn2+, Fe3+ / Fe2+ a

View Question A sample of 4.5 mg of an unknown monohydric alcohol, R-OH was added to methylmagnesium iodide. A gas is evolved and is c

View Question The separation of two coloured substances was done by paper chromatography. The distances travelled by solvent front, su

View Question The total number of monobromo derivatives formed by the alkanes with molecular formula C5H12 is (excluding stereo isomer

View Question ## Mathematics

For $$z \in \mathbb{C}$$ if the minimum value of $$(|z-3 \sqrt{2}|+|z-p \sqrt{2} i|)$$ is $$5 \sqrt{2}$$, then a value Q

View Question The number of real values of $$\lambda$$, such that the system of linear equations
2x $$-$$ 3y + 5z = 9
x + 3y $$-$$ z =

View Question The number of bijective functions $$f:\{1,3,5,7, \ldots, 99\} \rightarrow\{2,4,6,8, \ldots .100\}$$, such that $$f(3) \

View Question The remainder when $$(11)^{1011}+(1011)^{11}$$ is divided by 9 is

View Question The sum $$\sum\limits_{n = 1}^{21} {{3 \over {(4n - 1)(4n + 3)}}} $$ is equal to

View Question $$\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^{7}}{\sqrt{2}-\sqrt{2} \sin 2 x}$$ is equal

View Question $$\mathop {\lim }\limits_{n \to \infty } {1 \over {{2^n}}}\left( {{1 \over {\sqrt {1 - {1 \over {{2^n}}}} }} + {1 \over

View Question If $$A$$ and $$B$$ are two events such that $$P(A)=\frac{1}{3}, P(B)=\frac{1}{5}$$ and $$P(A \cup B)=\frac{1}{2}$$, then

View Question Let $$[t]$$ denote the greatest integer less than or equal to $$t$$. Then the value of the integral $$\int_{-3}^{101}\le

View Question Let the point $$P(\alpha, \beta)$$ be at a unit distance from each of the two lines $$L_{1}: 3 x-4 y+12=0$$, and $$L_{2}

View Question Let a smooth curve $$y=f(x)$$ be such that the slope of the tangent at any point $$(x, y)$$ on it is directly proportion

View Question If the ellipse $$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$$ meets the line $$\frac{x}{7}+\frac{y}{2 \sqrt{6}}=1$$ on th

View Question The tangents at the points $$A(1,3)$$ and $$B(1,-1)$$ on the parabola $$y^{2}-2 x-2 y=1$$ meet at the point $$P$$. Then

View Question Let the foci of the ellipse $$\frac{x^{2}}{16}+\frac{y^{2}}{7}=1$$ and the hyperbola $$\frac{x^{2}}{144}-\frac{y^{2}}{\a

View Question A plane $$E$$ is perpendicular to the two planes $$2 x-2 y+z=0$$ and $$x-y+2 z=4$$, and passes through the point $$P(1,-

View Question The shortest distance between the lines $$\frac{x+7}{-6}=\frac{y-6}{7}=z$$ and $$\frac{7-x}{2}=y-2=z-6$$ is :

View Question Let $$\vec{a}=\hat{i}-\hat{j}+2 \hat{k}$$ and let $$\vec{b}$$ be a vector such that $$\vec{a} \times \vec{b}=2 \hat{i}-\

View Question If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged in the ascending order, is 6 th

View Question $$2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\f

View Question Consider the following statements:
P : Ramu is intelligent.
Q : Ramu is rich.
R : Ramu is not honest.
The negation of th

View Question Let $$A=\{1,2,3,4,5,6,7\}$$. Define $$B=\{T \subseteq A$$ : either $$1 \notin T$$ or $$2 \in T\}$$ and $$C=\{T \subseteq

View Question Let $$f(x)$$ be a quadratic polynomial with leading coefficient 1 such that $$f(0)=p, p \neq 0$$, and $$f(1)=\frac{1}{3}

View Question Let $$A=\left[\begin{array}{lll}
1 & a & a \\
0 & 1 & b \\
0 & 0 & 1
\end{array}\right], a, b \in \mathbb{R}$$. If for s

View Question The sum of the maximum and minimum values of the function $$f(x)=|5 x-7|+\left[x^{2}+2 x\right]$$ in the interval $$\lef

View Question Let $$y=y(x)$$ be the solution of the differential equation
$$\frac{d y}{d x}=\frac{4 y^{3}+2 y x^{2}}{3 x y^{2}+x^{3}},

View Question Let $$f$$ be a twice differentiable function on $$\mathbb{R}$$. If $$f^{\prime}(0)=4$$ and $$f(x) + \int\limits_0^x {(x

View Question Let $${a_n} = \int\limits_{ - 1}^n {\left( {1 + {x \over 2} + {{{x^2}} \over 3} + \,\,.....\,\, + \,\,{{{x^{n - 1}}} \ov

View Question If the circles $${x^2} + {y^2} + 6x + 8y + 16 = 0$$ and $${x^2} + {y^2} + 2\left( {3 - \sqrt 3 } \right)x + 2\left( {4 -

View Question Let the area enclosed by the x-axis, and the tangent and normal drawn to the curve $$4{x^3} - 3x{y^2} + 6{x^2} - 5xy - 8

View Question Let $$x = \sin (2{\tan ^{ - 1}}\alpha )$$ and $$y = \sin \left( {{1 \over 2}{{\tan }^{ - 1}}{4 \over 3}} \right)$$. If $

View Question ## Physics

In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitudes are found to be 6 V a

View Question The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound a

View Question A drop of liquid of density $$\rho$$ is floating half immersed in a liquid of density $${\sigma}$$ and surface tension $

View Question Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms$$-$$1 collide and rebound with the same

View Question For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional

View Question Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting

View Question The ratio of wavelengths of proton and deuteron accelerated by potential Vp and Vd is 1 : $$\sqrt2$$. Then the ratio of

View Question For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance

View Question Light wave travelling in air along x-direction is given by $${E_y} = 540\sin \pi \times {10^4}(x - ct)\,V{m^{ - 1}}$$.

View Question When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works

View Question An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of 1 $$\times$$ 10$$-$$4 Wbm$$-$$2. T

View Question A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the points A and B

View Question The length of a seconds pendulum at a height h = 2R from earth surface will be:
(Given R = Radius of earth and accelerat

View Question Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture

View Question Let $$\eta_{1}$$ is the efficiency of an engine at $$T_{1}=447^{\circ} \mathrm{C}$$ and $$\mathrm{T}_{2}=147^{\circ} \ma

View Question An object is taken to a height above the surface of earth at a distance $${5 \over 4}$$ R from the centre of the earth.

View Question A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms$$-$$1 gets embedded i

View Question A ball is projected from the ground with a speed 15 ms$$-$$1 at an angle $$\theta$$ with horizontal so that its range an

View Question The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit ar

View Question Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength $$\lambda$$. The value of

View Question A particle is moving in a straight line such that its velocity is increasing at 5 ms$$-$$1 per meter. The acceleration o

View Question Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular

View Question A block of ice of mass 120 g at temperature 0$$^\circ$$C is put in 300 g of water at 25$$^\circ$$C. The x g of ice melts

View Question $${x \over {x + 4}}$$ is the ratio of energies of photons produced due to transition of an electron of hydrogen atom fro

View Question In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now rep

View Question Two ideal diodes are connected in the network as shown in figure. The equivalent resistance between A and B is _________

View Question Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are super

View Question Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential diff

View Question A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The

View Question Magnetic flux (in weber) in a closed circuit of resistance 20 $$\Omega$$ varies with time t(s) at $$\phi$$ = 8t2 $$-$$ 9

View Question